TY - JOUR
A2 - Qi, Feng
AU - Seddighin, Morteza
PY - 2012
DA - 2012/12/22
TI - Approximations of Antieigenvalue and Antieigenvalue-Type Quantities
SP - 318214
VL - 2012
AB - We will extend the definition of antieigenvalue of an operator to antieigenvalue-type quantities, in the first section of this paper, in such a way that the relations between antieigenvalue-type quantities and their corresponding Kantorovich-type inequalities are analogous to those of antieigenvalue and Kantorovich inequality. In the second section, we approximate several antieigenvalue-type quantities for arbitrary accretive operators. Each antieigenvalue-type quantity is approximated in terms of the same quantity for normal matrices. In particular, we show that for an arbitrary accretive operator, each antieigenvalue-type quantity is the limit of the same quantity for a sequence of finite-dimensional normal matrices.
SN - 0161-1712
UR - https://doi.org/10.1155/2012/318214
DO - 10.1155/2012/318214
JF - International Journal of Mathematics and Mathematical Sciences
PB - Hindawi Publishing Corporation
KW -
ER -